Counting numerical sets with no small atoms

Jeremy Marzuola, Andy Miller

A numerical set $S$ with Frobenius number $g$ is a set of integers with $\min (S)=0$ and $\max(\Zbb - S)=g$, and its atom monoid is $A(S) = \setpres{n \in \Zbb}{$n+s \in S$ for al…